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Circumcenter and Circumcircle of Right Triangle

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Explanations 1

The circumcenter of a right triangle is the midpoint of the hypotenuse. To prove this, consider the triangle ABOABOABO, where: O=(0,0)O=(0,0)O=(0,0) A=(2a,0)A=(2a,0)A=(2a,0) B=(…
By Sujay Kazi

Problems 1

Let ABCDABCDABCD be a rectangle. Circles with diameters ABABAB and CDCDCD meet at points PPP and QQQ inside the rectangle such that PPP is closer to segment BCBCBC than QQQ. Let…